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- W1001792301 abstract "In this chapter the isentropic drift-diffusion equations are studied. First, the model is derived from current relations involving Fermi-Dirac statistics (Section 3.1). The existence and uniqueness of solutions to the time-dependent problem are proved in Sections 3.2 and 3.3. Since the model contains parabolic equations of degenerate type, solutions may exist for which the carrier densities vanish locally. These solutions are calledvacuum solutions. In Section 3.4 we study the space and time localization of the corresponding vacuum sets. The isentropic drift-diffusion equations are discretized in one and two space dimensions by using an exponentially fitted mixed finite element method. Numerical examples modeling junction diodes and transistors are presented (Section 3.5). Section 3.6 is devoted to the study of the static current-voltage characteristics of diodes.KeywordsCarrier DensityVacuum SolutionMixed Finite ElementHole DensityDoping ProfileThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W1001792301 created "2016-06-24" @default.
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- W1001792301 date "2001-01-01" @default.
- W1001792301 modified "2023-09-25" @default.
- W1001792301 title "The Isentropic Drift-diffusion Model" @default.
- W1001792301 doi "https://doi.org/10.1007/978-3-0348-8334-4_3" @default.
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